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Polyhedra in loop quantum gravity
Interwiners are the building blocks of spin-network states. The space of intertwiners is the quantization of a classical symplectic manifold introduced by Kapovich and Millson. Here we show that a
Entropy of Non-Extremal Black Holes from Loop Gravity
We compute the entropy of non-extremal black holes using the quantum dynamics of Loop Gravity. The horizon entropy is finite, scales linearly with the area A, and reproduces the Bekenstein-Hawking
On the Architecture of Spacetime Geometry
We propose entanglement entropy as a probe of the architecture of spacetime in quantum gravity. We argue that the leading contribution to this entropy satisfies an area law for any sufficiently large
Towards spinfoam cosmology
We compute the transition amplitude between coherent quantum states of geometry peaked on homogeneous-isotropic metrics. We work in the context of pure gravity without matter, we use the holomorphic
Lorentzian spinfoam propagator
The two-point correlation function is calculated in the Lorentzian EPRL spinfoam model, and shown to match with the one in Regge calculus in a proper limit: large boundary spins, and small
Discreteness of the volume of space from Bohr-Sommerfeld quantization.
The Bohr-Sommerfeld volume spectrum of a tetrahedron is computed and it is shown that it reproduces the quantization of a grain of space found in loop gravity.
Entanglement entropy and negative energy in two dimensions
It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional CFT that such negative energy densities are
Cosmological constant in spinfoam cosmology
We consider a simple modification of the amplitude defining the dynamics of loop quantum gravity, corresponding to the introduction of the cosmological constant, and possibly related to the
Last gasp of a black hole: unitary evaporation implies non-monotonic mass loss
We show within the usual two-dimensional approximation that unitarity and the restoration of Minkowski vacuum correlations at the end of black hole evaporation impose unexpected constraints on its